Skip to main content
Journal cover image

Indefinite metric and scattering by a domain with a small hole

Publication ,  Journal Article
Kiselev, AA; Popov, IY
Published in: Mathematical Notes
January 1, 1995

For the problem of plane waves scattered by a domain with a small hole, we suggest a model based on the theory of self-adjoint extensions of symmetric operators in a space with indefinite metric. For two-dimensional problems of scattering on a line with a hole and on a semi-ellipse connected by a hole with a half-plane, we justify the choice of extension that guarantees the coincidence of the model solution with the solution of the “actual” problem in the far zone with a high degree of accuracy. © 1996, Plenum Publishing Corporation. All rights reserved.

Duke Scholars

Published In

Mathematical Notes

DOI

EISSN

1573-8876

ISSN

0001-4346

Publication Date

January 1, 1995

Volume

58

Issue

6

Start / End Page

1276 / 1285

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Kiselev, A. A., & Popov, I. Y. (1995). Indefinite metric and scattering by a domain with a small hole. Mathematical Notes, 58(6), 1276–1285. https://doi.org/10.1007/BF02304886
Kiselev, A. A., and I. Y. Popov. “Indefinite metric and scattering by a domain with a small hole.” Mathematical Notes 58, no. 6 (January 1, 1995): 1276–85. https://doi.org/10.1007/BF02304886.
Kiselev AA, Popov IY. Indefinite metric and scattering by a domain with a small hole. Mathematical Notes. 1995 Jan 1;58(6):1276–85.
Kiselev, A. A., and I. Y. Popov. “Indefinite metric and scattering by a domain with a small hole.” Mathematical Notes, vol. 58, no. 6, Jan. 1995, pp. 1276–85. Scopus, doi:10.1007/BF02304886.
Kiselev AA, Popov IY. Indefinite metric and scattering by a domain with a small hole. Mathematical Notes. 1995 Jan 1;58(6):1276–1285.
Journal cover image

Published In

Mathematical Notes

DOI

EISSN

1573-8876

ISSN

0001-4346

Publication Date

January 1, 1995

Volume

58

Issue

6

Start / End Page

1276 / 1285

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics